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Rigidity of Holomorphically Projective Mappings of Kähler Spaces with Finite Complete Geodesics

Author

Listed:
  • Lenka Vítková

    (Department of Algebra and Geometry, Faculty of Science, Palacký University in Olomouc, 779 00 Olomouc, Czech Republic)

  • Irena Hinterleitner

    (Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, 602 00 Brno, Czech Republic)

  • Josef Mikeš

    (Department of Algebra and Geometry, Faculty of Science, Palacký University in Olomouc, 779 00 Olomouc, Czech Republic)

Abstract

In this work, we consider holomorphically projective mappings of (pseudo-) Kähler spaces. We determine the conditions for finite complete geodesics that must be satisfied for the mappings to be trivial; i.e., these spaces are rigid.

Suggested Citation

  • Lenka Vítková & Irena Hinterleitner & Josef Mikeš, 2024. "Rigidity of Holomorphically Projective Mappings of Kähler Spaces with Finite Complete Geodesics," Mathematics, MDPI, vol. 12(8), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:8:p:1239-:d:1379142
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